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math.NT2004
Finite automata and relations of multiple zeta values
Sinya Kitani, Eiki Sawada, Kimio Ueno
The theory of finite automata applies to the study on relations of multiple zeta values.
math.NT2004
Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function
Michitomo Nishizawa, Kimio Ueno
The functional relation of the Hurwitz zeta function is proved by using the connection problem of the confluent hypergeometric equation.